Find a positive angle less than 360° or 27 that is coterminal with each of the following: a. a 750° angle b. a 22T 3 angle c. a- 17T angle d. a -10.3 angle.
Find a positive angle less than 360° or 27 that is coterminal with each of the following: a. a 750° angle b. a 22T 3 angle c. a- 17T angle d. a -10.3 angle.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I don't understand how this was explained. I'm confused with it being in radians. How can I calculate it in radians?

Transcribed Image Text:EXAMPLE 7 Finding Coterminal Angles
Find a positive angle less than 360° or 27 that is coterminal with each of the
following:
a. a 750° angle
b. a
22T
3
angle ca-
17T
6
angle
d. a -10.3 angle.

Transcribed Image Text:d. For a -10.3 angle, it is helpful to remember that 1 radian = 57°. Therefore,
-10.3 = -10.3(57°)
F -587.1°.
For a -587.1° angle, we need to add two multiplies of 360° to find a positive
coterminal angle less than 360°. Equivalently, for a -10.3 angle, we need to
add two multiples of 27, or 47, to find a positive coterminal angle less than 2π.
-10.3+27 2 = −10.3 + 4π = 2.3
A 2.3 angle is approximately coterminal with a -10.3 angle.
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